A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations

Details A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations

2006-04-21

arxiv.org/abs/math/0604472v2

Astrophysics and Space Science 305(2006)283-288

Mathematics

Classical Analysis and ODEs

LaTeX, 12 pages, corrected typos

Scientific paper

10.1007/s10509-006-9188-7

A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the concept of Laplacianness in statistics, alpha-Laplace and Mittag-Leffler stochastic processes, the concepts of infinite divisibility and geometric infinite divisibility problems in probability theory and certain fractional integrals and fractional derivatives. A number of applications are pointed out with special reference to solutions of fractional reaction and reaction-diffusion equations and their generalizations.

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